1. The problem is to simplify the expression $5^1 \times 2^x$. 2. Recall that $5^1$ means 5 raised to the power of 1, which is simply 5. 3. The expression can be rewritten as $5 \times 2^x$. 4. Since there are no like bases, the expression cannot be simplified further. 5. Therefore, the simplified form of the expression is $5 \times 2^x$.